问题
填空题
方程log2(x-1)=2-log2(x+1)的解为______.
答案
∵log2(x-1)=2-log2(x+1)∴log2(x-1)=log24 x+1
即x-1=
解得x=±4 x+1
(负值舍去)5
故答案为:5
方程log2(x-1)=2-log2(x+1)的解为______.
∵log2(x-1)=2-log2(x+1)∴log2(x-1)=log24 x+1
即x-1=
解得x=±4 x+1
(负值舍去)5
故答案为:5